Document Zbl 1460.16028

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Electron. J. Algebra</a> <a href="/?q=in%3A453283" title="Articles in this Issue">28, 75-97 (2020)</a>. </div> <div class="abstract">Summary: For a skew PBW extension over a right duo compatible ring, we characterize several kinds of their elements such as units, idempotent, von Neumann regular, $\pi$-regular and the clean elements. As a consequence of our treatment, we extend several results in the literature for Ore extensions and commutative rings.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7251174">Cited in <strong>8</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A16S36" title="MSC2020">16S36</a> </td> <td class="space"> Ordinary and skew polynomial rings and semigroup rings </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A16U60" title="MSC2020">16U60</a> </td> <td class="space"> Units, groups of units (associative rings and algebras) </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A16S38" title="MSC2020">16S38</a> </td> <td class="space"> Rings arising from noncommutative algebraic geometry </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A16S15" title="MSC2020">16S15</a> </td> <td class="space"> Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A16S80" title="MSC2020">16S80</a> </td> <td class="space"> Deformations of associative rings </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Aright+duo+ring">right duo ring</a>; <a href="/?q=ut%3Askew+PBW+extension">skew PBW extension</a>; <a href="/?q=ut%3Aidempotent+element">idempotent element</a>; <a href="/?q=ut%3Aunit+element">unit element</a>; <a href="/?q=ut%3Avon+Neumann+regular+element">von Neumann regular element</a>; <a href="/?q=ut%3Aclean+element">clean element</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1460.16028" data-ciurl="/ci/07251174" data-biburl="/bibtex/07251174.bib" data-amsurl="/amsrefs/07251174.bib" data-xmlurl="/xml/07251174.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07251174.pdf" title="Zbl 1460.16028 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="http://www.ieja.net/files/papers/volume-28/5-V28-2020.pdf" title="Full Text Link">Link</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">A. 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